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General Relativity

General Relativity PDF Author: Robert M. Wald
Publisher: University of Chicago Press
ISBN: 0226870375
Category : Science
Languages : en
Pages : 507

Book Description
"Wald's book is clearly the first textbook on general relativity with a totally modern point of view; and it succeeds very well where others are only partially successful. The book includes full discussions of many problems of current interest which are not treated in any extant book, and all these matters are considered with perception and understanding."—S. Chandrasekhar "A tour de force: lucid, straightforward, mathematically rigorous, exacting in the analysis of the theory in its physical aspect."—L. P. Hughston, Times Higher Education Supplement "Truly excellent. . . . A sophisticated text of manageable size that will probably be read by every student of relativity, astrophysics, and field theory for years to come."—James W. York, Physics Today

General Relativity

General Relativity PDF Author: Robert M. Wald
Publisher: University of Chicago Press
ISBN: 0226870375
Category : Science
Languages : en
Pages : 507

Book Description
"Wald's book is clearly the first textbook on general relativity with a totally modern point of view; and it succeeds very well where others are only partially successful. The book includes full discussions of many problems of current interest which are not treated in any extant book, and all these matters are considered with perception and understanding."—S. Chandrasekhar "A tour de force: lucid, straightforward, mathematically rigorous, exacting in the analysis of the theory in its physical aspect."—L. P. Hughston, Times Higher Education Supplement "Truly excellent. . . . A sophisticated text of manageable size that will probably be read by every student of relativity, astrophysics, and field theory for years to come."—James W. York, Physics Today

Elements of General Relativity

Elements of General Relativity PDF Author: Piotr T. Chruściel
Publisher: Springer Nature
ISBN: 3030284166
Category : Mathematics
Languages : en
Pages : 285

Book Description
This book provides an introduction to the mathematics and physics of general relativity, its basic physical concepts, its observational implications, and the new insights obtained into the nature of space-time and the structure of the universe. It introduces some of the most striking aspects of Einstein's theory of gravitation: black holes, gravitational waves, stellar models, and cosmology. It contains a self-contained introduction to tensor calculus and Riemannian geometry, using in parallel the language of modern differential geometry and the coordinate notation, more familiar to physicists. The author has strived to achieve mathematical rigour, with all notions given careful mathematical meaning, while trying to maintain the formalism to the minimum fit-for-purpose. Familiarity with special relativity is assumed. The overall aim is to convey some of the main physical and geometrical properties of Einstein's theory of gravitation, providing a solid entry point to further studies of the mathematics and physics of Einstein equations.

Gravity

Gravity PDF Author: James B. Hartle
Publisher: Cambridge University Press
ISBN: 1316517543
Category : Science
Languages : en
Pages : 605

Book Description
Best-selling, accessible physics-first introduction to GR uses minimal new mathematics and begins with the essential physical applications.

Spacetime and Geometry

Spacetime and Geometry PDF Author: Sean M. Carroll
Publisher: Cambridge University Press
ISBN: 1108488390
Category : Science
Languages : en
Pages : 529

Book Description
An accessible introductory textbook on general relativity, covering the theory's foundations, mathematical formalism and major applications.

Einstein's General Theory of Relativity

Einstein's General Theory of Relativity PDF Author: Brian P. Dolan
Publisher: Cambridge University Press
ISBN: 1009263714
Category : Science
Languages : en
Pages : 215

Book Description
Einstein's general theory of relativity can be a notoriously difficult subject for students approaching it for the first time, with arcane mathematical concepts such as connection coefficients and tensors adorned with a forest of indices. This book is an elementary introduction to Einstein's theory and the physics of curved space-times that avoids these complications as much as possible. Its first half describes the physics of black holes, gravitational waves and the expanding Universe, without using tensors. Only in the second half are Einstein's field equations derived and used to explain the dynamical evolution of the early Universe and the creation of the first elements. Each chapter concludes with problem sets and technical mathematical details are given in the appendices. This short text is intended for undergraduate physics students who have taken courses in special relativity and advanced mechanics.

Einstein Gravity in a Nutshell

Einstein Gravity in a Nutshell PDF Author: A. Zee
Publisher: Princeton University Press
ISBN: 1400847451
Category : Science
Languages : en
Pages : 888

Book Description
An ideal introduction to Einstein's general theory of relativity This unique textbook provides an accessible introduction to Einstein's general theory of relativity, a subject of breathtaking beauty and supreme importance in physics. With his trademark blend of wit and incisiveness, A. Zee guides readers from the fundamentals of Newtonian mechanics to the most exciting frontiers of research today, including de Sitter and anti-de Sitter spacetimes, Kaluza-Klein theory, and brane worlds. Unlike other books on Einstein gravity, this book emphasizes the action principle and group theory as guides in constructing physical theories. Zee treats various topics in a spiral style that is easy on beginners, and includes anecdotes from the history of physics that will appeal to students and experts alike. He takes a friendly approach to the required mathematics, yet does not shy away from more advanced mathematical topics such as differential forms. The extensive discussion of black holes includes rotating and extremal black holes and Hawking radiation. The ideal textbook for undergraduate and graduate students, Einstein Gravity in a Nutshell also provides an essential resource for professional physicists and is accessible to anyone familiar with classical mechanics and electromagnetism. It features numerous exercises as well as detailed appendices covering a multitude of topics not readily found elsewhere. Provides an accessible introduction to Einstein's general theory of relativity Guides readers from Newtonian mechanics to the frontiers of modern research Emphasizes symmetry and the Einstein-Hilbert action Covers topics not found in standard textbooks on Einstein gravity Includes interesting historical asides Features numerous exercises and detailed appendices Ideal for students, physicists, and scientifically minded lay readers Solutions manual (available only to teachers)

The Genesis of General Relativity

The Genesis of General Relativity PDF Author: Jürgen Renn
Publisher: Springer Science & Business Media
ISBN: 1402040008
Category : Science
Languages : en
Pages : 2072

Book Description
This four-volume work represents the most comprehensive documentation and study of the creation of general relativity. Einstein’s 1912 Zurich notebook is published for the first time in facsimile and transcript and commented on by today’s major historians of science. Additional sources from Einstein and others, who from the late 19th to the early 20th century contributed to this monumental development, are presented here in translation for the first time. The volumes offer detailed commentaries and analyses of these sources that are based on a close reading of these documents supplemented by interpretations by the leading historians of relativity.

The Geometry of Spacetime

The Geometry of Spacetime PDF Author: James J. Callahan
Publisher: Springer Science & Business Media
ISBN: 1475767366
Category : Science
Languages : en
Pages : 474

Book Description
Hermann Minkowski recast special relativity as essentially a new geometric structure for spacetime. This book looks at the ideas of both Einstein and Minkowski, and then introduces the theory of frames, surfaces and intrinsic geometry, developing the main implications of Einstein's general relativity theory.

A First Course in General Relativity

A First Course in General Relativity PDF Author: Bernard Schutz
Publisher: Cambridge University Press
ISBN: 0521887054
Category : Science
Languages : en
Pages : 411

Book Description
Second edition of a widely-used textbook providing the first step into general relativity for undergraduate students with minimal mathematical background.

Special Relativity, Electrodynamics, and General Relativity

Special Relativity, Electrodynamics, and General Relativity PDF Author: John B. Kogut
Publisher: Academic Press
ISBN: 0128137215
Category : Science
Languages : en
Pages : 456

Book Description
Special Relativity, Electrodynamics, and General Relativity: From Newton to Einstein is intended to teach students of physics, astrophysics, astronomy, and cosmology how to think about special and general relativity in a fundamental but accessible way. Designed to render any reader a "master of relativity, all material on the subject is comprehensible and derivable from first principles. The book emphasizes problem solving, contains abundant problem sets, and is conveniently organized to meet the needs of both student and instructor. - Fully revised and expanded second edition with improved figures - Enlarged discussion of dynamics and the relativistic version of Newton's second law - Resolves the twin paradox from the principles of special and general relativity - Includes new chapters which derive magnetism from relativity and electrostatics - Derives Maxwell's equations from Gauss' law and the principles of special relativity - Includes new chapters on differential geometry, space-time curvature, and the field equations of general relativity - Introduces black holes and gravitational waves as illustrations of the principles of general relativity and relates them to the 2015 and 2017 observational discoveries of LIGO